4507465968 has 200 divisors, whose sum is σ = 13574178816. Its totient is φ = 1442448000.

The previous prime is 4507465967. The next prime is 4507465979. The reversal of 4507465968 is 8695647054.

4507465968 is a `hidden beast` number, since 4 + 5 + 0 + 7 + 46 + 596 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4507465961) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6066205 + ... + 6066947.

Almost surely, 2^4507465968 is an apocalyptic number.

4507465968 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4507465968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6787089408).

4507465968 is an abundant number, since it is smaller than the sum of its proper divisors (9066712848).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4507465968 is a wasteful number, since it uses less digits than its factorization.

4507465968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 945 (or 930 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The square root of 4507465968 is about 67137.6643025359. The cubic root of 4507465968 is about 1651.8761600871.

The spelling of 4507465968 in words is "four billion, five hundred seven million, four hundred sixty-five thousand, nine hundred sixty-eight".